If you just load that trailer to 7,500 lbs, you will have a tongue wt around 900 lbs, plus another 100 lbs for the hitch. Your payload will be the issue, depending on family size, and gear in the tow vehicle.
This sounds like a 30' trailer, that may not handle the best, in the wind, or mountains, being towed by a SUV.
More info is needed, but this trailer may be too much for your intended use.
Welcome to the forum! You are wise to do some research before purchase, not just taking the sales person word that it will be okay.
Jerry